19743 + Interview Questions in Mathematics Page 14 InterviewSolution

651.	Pass Journal entry for sale of goods by Rahul, Delhi to Anish, Delhi for ₹ 10,000 less 10% Trade Discount and 2% Cash Discount. Assume payment is received at the time of sale. CGST and SGST is levied 6% each.
Answer» Pass Journal entry for sale of goods by Rahul, Delhi to Anish, Delhi for ₹ 10,000 less 10% Trade Discount and 2% Cash Discount. Assume payment is received at the time of sale. CGST and SGST is levied 6% each.

Discussion

652.	in terminating decimals is ask to find the terminating rational numbers in (a)3/20 (b)7/25(c)3/13 (d)17/18
Answer» in terminating decimals is ask to find the terminating rational numbers in (a)3/20 (b)7/25 (c)3/13 (d)17/18

Discussion

653.	A circle has radius 6 cm is inscribed in a 6 sided regular hexagon ,find the length of one side of the hexagon
Answer» A circle has radius 6 cm is inscribed in a 6 sided regular hexagon ,find the length of one side of the hexagon

Discussion

654.	A certain game was played by 18 players as a team, in which 23rd of the team actually played the game, while the rest were reserved players - ready to replace the main members who got injured. How many reserved players did this team have?
Answer» A certain game was played by 18 players as a team, in which ${\frac{2}{3}}^{r d}$ of the team actually played the game, while the rest were reserved players - ready to replace the main members who got injured. How many reserved players did this team have?

Discussion

655.	a×(b+c)=
Answer» $a \times (b + c) =$

Discussion

656.	3(2x+y)=7xy ; 3(x+3y)=11xy solve it by cross multiplication
Answer» 3(2x+y)=7xy ; 3(x+3y)=11xy solve it by cross multiplication

Discussion

657.	Represent 7.28 geometrically on the number line.
Answer» Represent $\sqrt{7.28}$ geometrically on the number line.

Discussion

658.	Find the area of the shape shown in the figure:
Answer» Find the area of the shape shown in the figure:

Discussion

659.	There are 105 flower seeds that need to be planted in flower vases. Find the minimum number of flower vases required such that prime numbers of flower seeds can be planted in each vase evenly.
Answer» There are $105$ flower seeds that need to be planted in flower vases. Find the minimum number of flower vases required such that prime numbers of flower seeds can be planted in each vase evenly.

Discussion

660.	Question 49 State whether the statement is True or False. 5 is the solution of the equation 3x + 2 = 17.
Answer» Question 49 State whether the statement is True or False. 5 is the solution of the equation 3x + 2 = 17.

660.

Question 49 State whether the statement is True or False. 5 is the solution of the equation 3x + 2 = 17.

Answer»

Question 49

State whether the statement is True or False.

5 is the solution of the equation 3x + 2 = 17.

Discussion

661.	The rational number between 16 and 14 is
Answer» The rational number between $\frac{1}{6}$ and $\frac{1}{4}$ is

Discussion

662.	Find76.5 ÷ 0.15
Answer» Find 76.5 $\div$ 0.15

Discussion

663.	The order of rotational symmetry of the given figure about the point ‘x’ is:
Answer» The order of rotational symmetry of the given figure about the point ‘x’ is:

Discussion

664.	Arrange the rational numbers−710,5−8,2−3,−14,−35 in ascending order.
Answer» Arrange the rational numbers $\frac{- 7}{10}, \frac{5}{- 8}, \frac{2}{- 3}, \frac{- 1}{4}, \frac{- 3}{5}$ in ascending order.

Discussion

665.	If two sides and the angle included between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle, then the triangles are congruent by ____.
Answer» If two sides and the angle included between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle, then the triangles are congruent by ____.

Discussion

666.	Can a person at rest be said to be in motion by an observer in a moving bus?
Answer» Can a person at rest be said to be in motion by an observer in a moving bus?

Discussion

667.	Question 7Find the value of 4(216)−23+1(256)−34+2(243)−15
Answer» Question 7 Find the value of $\frac{4}{(216)^{- \frac{2}{3}}} + \frac{1}{(256)^{- \frac{3}{4}}} + \frac{2}{(243)^{- \frac{1}{5}}}$

Discussion

668.	The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.
Answer» The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.

Discussion

669.	Mother has made laddus. She gives some laddus to guests and family members, and still 5 laddus remain. If the number of laddus mother gave away is l, how many laddus did she make?
Answer» Mother has made laddus. She gives some laddus to guests and family members, and still 5 laddus remain. If the number of laddus mother gave away is $l$ , how many laddus did she make?

Discussion

670.	While drawing a three dimensional view of an object, in an oblique sketch we use a angle.
Answer» While drawing a three dimensional view of an object, in an oblique sketch we use a angle.

Discussion

671.	Write these in exponential form.(1) 6 × 6 × 6 × 6(2) (−5) × (−5) × (−5)(3) (4) 0.2 × 0.2 × 0.2(5) (32) × (32) × (32)
Answer» Write these in exponential form. (1) 6 × 6 × 6 × 6 (2) (−5) × (−5) × (−5) (3) (4) 0.2 × 0.2 × 0.2 (5) (3²) × (3²) × (3²)

671.

Write these in exponential form.(1) 6 × 6 × 6 × 6(2) (−5) × (−5) × (−5)(3) (4) 0.2 × 0.2 × 0.2(5) (32) × (32) × (32)

Answer»

Write these in exponential form.

(1) 6 × 6 × 6 × 6

(2) (−5) × (−5) × (−5)

(3)

(4) 0.2 × 0.2 × 0.2

(5) (3²) × (3²) × (3²)

Discussion

672.	The length of the shaded rectangle is (1/10) of the bigger rectangle and its breadth is 0.001 times the bigger rectangle . If the area of the bigger rectangle is 10000 m2. Find the area of the shaded rectangle. [4 MARKS]
Answer» The length of the shaded rectangle is (1/10) of the bigger rectangle and its breadth is 0.001 times the bigger rectangle . If the area of the bigger rectangle is 10000 $m^{2}$ . Find the area of the shaded rectangle. [4 MARKS]

672.

The length of the shaded rectangle is (1/10) of the bigger rectangle and its breadth is 0.001 times the bigger rectangle . If the area of the bigger rectangle is 10000 m2. Find the area of the shaded rectangle. [4 MARKS]

Answer»

The length of the shaded rectangle is (1/10) of the bigger rectangle and its breadth is 0.001 times the bigger rectangle . If the area of the bigger rectangle is 10000 $m^{2}$ . Find the area of the shaded rectangle. [4 MARKS]

Discussion

673.	Harshvardhan walks from home to school with a speed of 4 km per hour and returns home with 2km per hour . Find the average speed of the whole journey?
Answer» Harshvardhan walks from home to school with a speed of 4 km per hour and returns home with 2km per hour . Find the average speed of the whole journey?

Discussion

674.	27. If x square + 1 upon x square =51 , then find the value x.
Answer» 27. If x square + 1 upon x square =51 , then find the value x.

Discussion

675.	Find the volumes of cubes whose edges are(1) 2 m(2) 5 cm(3) 8 cm
Answer» Find the volumes of cubes whose edges are (1) 2 m (2) 5 cm (3) 8 cm

675.

Find the volumes of cubes whose edges are(1) 2 m(2) 5 cm(3) 8 cm

Answer»

Find the volumes of cubes whose edges are

(1) 2 m

(2) 5 cm

(3) 8 cm

Discussion

676.	Choose the expression whose value is 118
Answer» $Choose the expression whose value is 1 \frac{1}{8}$

Discussion

677.	Write 102 as the sum of the powers of 2
Answer» Write 102 as the sum of the powers of 2

Discussion

678.	Prove that a2+b2=c2 where a , b and c are sides of a right angled triangle.
Answer» Prove that $a^{2} + b^{2} = c^{2}$ where a , b and c are sides of a right angled triangle.

Discussion

679.	Ravi borrowed money from his mother for buying pens. He bought 7 pens and the price of each pen is a two digit number, 1A. If the total amount spent by him is 10A, then the value of A is ___
Answer» Ravi borrowed money from his mother for buying pens. He bought 7 pens and the price of each pen is a two digit number, 1A. If the total amount spent by him is 10A, then the value of A is ___

679.

Ravi borrowed money from his mother for buying pens. He bought 7 pens and the price of each pen is a two digit number, 1A. If the total amount spent by him is 10A, then the value of A is ___

Answer»

Ravi borrowed money from his mother for buying pens. He bought 7 pens and the price of each pen is a two digit number, 1A. If the total amount spent by him is 10A, then the value of A is

___

Discussion

680.	x3y2−zx2y+x4y3= ×(xy−z+x2y2)
Answer» $x^{3} y^{2} - z x^{2} y + x^{4} y^{3} =$ $\times (x y - z + x^{2} y^{2})$

Discussion

681.	Express the following ratios in their simplest form:(a) 150∶400 (b) 85∶225
Answer» Express the following ratios in their simplest form: (a) 150∶400 (b) 85∶225

Discussion

682.	Let n(U) = 700, n(A) = 200, n(B) = 300 and n(A∩B)=100, Then n(Ac∩Bc)=
Answer» Let n(U) = 700, n(A) = 200, n(B) = 300 and $n (A \cap B) = 100$ , Then $n (A^{c} \cap B^{c}) =$

682.

Let n(U) = 700, n(A) = 200, n(B) = 300 and n(A∩B)=100, Then n(Ac∩Bc)=

Answer»

Let n(U) = 700, n(A) = 200, n(B) = 300 and $n (A \cap B) = 100$ ,

Then $n (A^{c} \cap B^{c}) =$

Discussion

683.	If the product of two whole numbers is zero, can we say that one or both of them will be zero? Justify through examples.
Answer» If the product of two whole numbers is zero, can we say that one or both of them will be zero? Justify through examples.

Discussion

684.	The area of a rectangular gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 squarevunits. Find the dimensions of the rectangle?
Answer» The area of a rectangular gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 squarevunits. Find the dimensions of the rectangle?

Discussion

685.	Question 8 A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m. Find the cost of whitewashing the wall, if the rate of whitewashing the wall is Rs. 20 per m2.
Answer» Question 8 A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m. Find the cost of whitewashing the wall, if the rate of whitewashing the wall is Rs. 20 per $m^{2}$ .

685.

Question 8 A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m. Find the cost of whitewashing the wall, if the rate of whitewashing the wall is Rs. 20 per m2.

Answer»

Question 8

A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m. Find the cost of whitewashing the wall, if the rate of whitewashing the wall is Rs. 20 per $m^{2}$ .

Discussion

686.	A student walks to school at the rate of 7.5km/hr and reaches 10 minutes late.If he travels at the speed of 10km/hr he is 10 minutes early .What is the distance to the school?
Answer» A student walks to school at the rate of 7.5km/hr and reaches 10 minutes late.If he travels at the speed of 10km/hr he is 10 minutes early .What is the distance to the school?

Discussion

687.	Which of the following is/are not Pythagorean triplet (s)?(a) 3,4,5(b) 8,15,17(c) 7,24,25(d) 13,26,29
Answer» Which of the following is/are not Pythagorean triplet (s)? (a) 3,4,5 (b) 8,15,17 (c) 7,24,25 (d) 13,26,29

Discussion

688.	Construct the triangle MRB in which RB = 5.2 cm. ∠R = 30°, ∠B = 120° and measure ∠M.
Answer» Construct the triangle MRB in which RB = 5.2 cm. ∠R = 30°, ∠B = 120° and measure ∠M.

Discussion

689.	Simplify: 36÷[(5–11)×2]+12 –7
Answer» Simplify: $36 \div [(5 - 11) \times 2] + 12 - 7$

Discussion

690.	Trees are planted in a specific pattern in a garden, with the number of rows equalling the number of columns of trees. Find the number of trees planted in each row if there are a total of 16 trees.4
Answer» Trees are planted in a specific pattern in a garden, with the number of rows equalling the number of columns of trees. Find the number of trees planted in each row if there are a total of 16 trees. 4

Discussion

691.	Question 59 What is the probability of the sum setting tomorrow?
Answer» Question 59 What is the probability of the sum setting tomorrow?

Discussion

692.	To draw a right angle triangle:
Answer» To draw a right angle triangle:

Discussion

693.	If the original size of an image is 540×680, the image size cannot be achieved without disturbing the ratio.
Answer» If the original size of an image is $540 \times 680$ , the image size cannot be achieved without disturbing the ratio.

Discussion

694.	According to the Forbes' Real-Time Billionaires rankings, Jeff's net worth is 193.4 billions and Elon's net worth is 171.6 billions. What is the difference in their net worths?
Answer» According to the Forbes' Real-Time Billionaires rankings, Jeff's net worth is $193.4$ billions and Elon's net worth is $171.6$ billions. What is the difference in their net worths?

Discussion

695.	Solve the following simultaneous equations.1 2x-3y=15; 8x+5y=772 10x+y+2x-y=4; 15x+y-5x-y=-23 27x-2+31y+3=85; 31x-2+27y+3=894 13x+y+23x-y=34; 123x+y-123x-y=-18
Answer» Solve the following simultaneous equations. $(1) \frac{2}{x} - \frac{3}{y} = 15; \frac{8}{x} + \frac{5}{y} = 77 (2) \frac{10}{x + y} + \frac{2}{x - y} = 4; \frac{15}{x + y} - \frac{5}{x - y} = - 2 (3) \frac{27}{x - 2} + \frac{31}{y + 3} = 85; \frac{31}{x - 2} + \frac{27}{y + 3} = 89 (4) \frac{1}{3 x + y} + \frac{2}{3 x - y} = \frac{3}{4}; \frac{1}{2 (3 x + y)} - \frac{1}{2 (3 x - y)} = - \frac{1}{8}$

Discussion

696.	Locate 10 on the number line.
Answer» Locate $\sqrt{10}$ on the number line.

Discussion

697.	Which of the following correctly depicts three rational numbers between 15 and 34?
Answer» Which of the following correctly depicts three rational numbers between $\frac{1}{5}$ and $\frac{3}{4} ?$

Discussion

698.	PQRS is a parallelogram whose diagonals intersect at M.∠PMS=54∘,∠QSR=25∘ and ∠SQR=30∘;(i) ∠RPS(ii) ∠PRS(iii) ∠PSR
Answer» PQRS is a parallelogram whose diagonals intersect at M. $∠ P M S = 54^{\circ}, ∠ Q S R = 25^{\circ} and ∠ S Q R = 30^{\circ};$ $(i) ∠ R P S$ $(ii) ∠ P R S$ $(iii) ∠ P S R$

Discussion

699.	Replacethe blank with an integer to make it a true statement.(a) (b) (c) (d)
Answer» Replace the blank with an integer to make it a true statement. (a) (b) (c) (d)

699.

Replacethe blank with an integer to make it a true statement.(a) (b) (c) (d)

Answer»

Replace
the blank with an integer to make it a true statement.

(a)

(b)

(c)

(d)

Discussion

700.	Question 155 Points A and B are on the opposite edges of a pond as shown in the given figure. To find the distance between the two points, the surveyor makes a right-angled triangle as shown. Find the distance AB.
Answer» Question 155 Points A and B are on the opposite edges of a pond as shown in the given figure. To find the distance between the two points, the surveyor makes a right-angled triangle as shown. Find the distance AB.

700.

Question 155 Points A and B are on the opposite edges of a pond as shown in the given figure. To find the distance between the two points, the surveyor makes a right-angled triangle as shown. Find the distance AB.

Answer»

Question 155

Points A and B are on the opposite edges of a pond as shown in the given figure. To find the distance between the two points, the surveyor makes a right-angled triangle as shown. Find the distance AB.

Discussion

Explore topic-wise InterviewSolutions in .

Pass Journal entry for sale of goods by Rahul, Delhi to Anish, Delhi for ₹ 10,000 less 10% Trade Discount and 2% Cash Discount. Assume payment is received at the time of sale. CGST and SGST is levied 6% each.

in terminating decimals is ask to find the terminating rational numbers in (a)3/20 (b)7/25(c)3/13 (d)17/18

A circle has radius 6 cm is inscribed in a 6 sided regular hexagon ,find the length of one side of the hexagon

A certain game was played by 18 players as a team, in which 23rd of the team actually played the game, while the rest were reserved players - ready to replace the main members who got injured. How many reserved players did this team have?

a×(b+c)=

3(2x+y)=7xy ; 3(x+3y)=11xy solve it by cross multiplication

Represent 7.28 geometrically on the number line.

Find the area of the shape shown in the figure:

There are 105 flower seeds that need to be planted in flower vases. Find the minimum number of flower vases required such that prime numbers of flower seeds can be planted in each vase evenly.

Question 49 State whether the statement is True or False. 5 is the solution of the equation 3x + 2 = 17.

The rational number between 16 and 14 is

Find76.5 ÷ 0.15

The order of rotational symmetry of the given figure about the point ‘x’ is:

Arrange the rational numbers−710,5−8,2−3,−14,−35 in ascending order.

If two sides and the angle included between them in one of the triangles are equal to the corresponding sides and the angle included between them of the other triangle, then the triangles are congruent by ____.

Can a person at rest be said to be in motion by an observer in a moving bus?

Question 7Find the value of 4(216)−23+1(256)−34+2(243)−15

The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.

Mother has made laddus. She gives some laddus to guests and family members, and still 5 laddus remain. If the number of laddus mother gave away is l, how many laddus did she make?

While drawing a three dimensional view of an object, in an oblique sketch we use a angle.

Write these in exponential form.(1) 6 × 6 × 6 × 6(2) (−5) × (−5) × (−5)(3) (4) 0.2 × 0.2 × 0.2(5) (32) × (32) × (32)

The length of the shaded rectangle is (1/10) of the bigger rectangle and its breadth is 0.001 times the bigger rectangle . If the area of the bigger rectangle is 10000 m2. Find the area of the shaded rectangle. [4 MARKS]

Harshvardhan walks from home to school with a speed of 4 km per hour and returns home with 2km per hour . Find the average speed of the whole journey?

27. If x square + 1 upon x square =51 , then find the value x.

Find the volumes of cubes whose edges are(1) 2 m(2) 5 cm(3) 8 cm

Choose the expression whose value is 118

Write 102 as the sum of the powers of 2

Prove that a2+b2=c2 where a , b and c are sides of a right angled triangle.

Ravi borrowed money from his mother for buying pens. He bought 7 pens and the price of each pen is a two digit number, 1A. If the total amount spent by him is 10A, then the value of A is ___

x3y2−zx2y+x4y3= ×(xy−z+x2y2)

Express the following ratios in their simplest form:(a) 150∶400 (b) 85∶225

Let n(U) = 700, n(A) = 200, n(B) = 300 and n(A∩B)=100, Then n(Ac∩Bc)=

If the product of two whole numbers is zero, can we say that one or both of them will be zero? Justify through examples.

The area of a rectangular gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 squarevunits. Find the dimensions of the rectangle?

Question 8 A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m. Find the cost of whitewashing the wall, if the rate of whitewashing the wall is Rs. 20 per m2.

A student walks to school at the rate of 7.5km/hr and reaches 10 minutes late.If he travels at the speed of 10km/hr he is 10 minutes early .What is the distance to the school?

Which of the following is/are not Pythagorean triplet (s)?(a) 3,4,5(b) 8,15,17(c) 7,24,25(d) 13,26,29

Construct the triangle MRB in which RB = 5.2 cm. ∠R = 30°, ∠B = 120° and measure ∠M.

Simplify: 36÷[(5–11)×2]+12 –7

Trees are planted in a specific pattern in a garden, with the number of rows equalling the number of columns of trees. Find the number of trees planted in each row if there are a total of 16 trees.4

Question 59 What is the probability of the sum setting tomorrow?

To draw a right angle triangle:

If the original size of an image is 540×680, the image size cannot be achieved without disturbing the ratio.

According to the Forbes' Real-Time Billionaires rankings, Jeff's net worth is 193.4 billions and Elon's net worth is 171.6 billions. What is the difference in their net worths?

Solve the following simultaneous equations.1 2x-3y=15; 8x+5y=772 10x+y+2x-y=4; 15x+y-5x-y=-23 27x-2+31y+3=85; 31x-2+27y+3=894 13x+y+23x-y=34; 123x+y-123x-y=-18

Locate 10 on the number line.

Which of the following correctly depicts three rational numbers between 15 and 34?

PQRS is a parallelogram whose diagonals intersect at M.∠PMS=54∘,∠QSR=25∘ and ∠SQR=30∘;(i) ∠RPS(ii) ∠PRS(iii) ∠PSR

Replacethe blank with an integer to make it a true statement.(a) (b) (c) (d)

Question 155 Points A and B are on the opposite edges of a pond as shown in the given figure. To find the distance between the two points, the surveyor makes a right-angled triangle as shown. Find the distance AB.